Differential forms : theory and practice / (Record no. 246890)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04608cam a2200517Mi 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn873760139 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20190328114807.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr |n||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 140314s2014 enk ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | YDXCP |
| Language of cataloging | eng |
| Description conventions | pn |
| Transcribing agency | YDXCP |
| Modifying agency | OPELS |
| -- | UMI |
| -- | N$T |
| -- | COO |
| -- | CHVBK |
| -- | DEBBG |
| -- | OCLCQ |
| -- | OCLCF |
| -- | EBLCP |
| -- | DEBSZ |
| -- | OCLCQ |
| -- | OCLCO |
| -- | U3W |
| -- | D6H |
| -- | CEF |
| -- | OTZ |
| 019 ## - | |
| -- | 871224203 |
| -- | 875004005 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0123946174 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780123946171 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780123944030 |
| Qualifying information | (alk. paper) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 0123944031 |
| Qualifying information | (alk. paper) |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)873760139 |
| Canceled/invalid control number | (OCoLC)871224203 |
| -- | (OCoLC)875004005 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA381 |
| Item number | .W45 2014 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 005000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 034000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.37 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Weintraub, Steven H., |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Differential forms : theory and practice / |
| Medium | [electronic resource] |
| Statement of responsibility, etc. | by Steve Weintraub. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Oxford, UK : |
| Name of producer, publisher, distributor, manufacturer | Elsevier, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2014. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Print version record. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Half Title; Title Page; Copyright; Dedication; Contents; Preface; 1 Differential Forms in Rn, I; 1.0 Euclidean spaces, tangent spaces, and tangent vector fields; 1.1 The algebra of differential forms; 1.2 Exterior differentiation; 1.3 The fundamental correspondence; 1.4 The Converse of Poincar�e's Lemma, I; 1.5 Exercises; 2 Differential Forms in Rn, II; 2.1 1-Forms; 2.2 k-Forms; 2.3 Orientation and signed volume; 2.4 The converse of Poincar�e's Lemma, II; 2.5 Exercises; 3 Push-forwards and Pull-backs in Rn; 3.1 Tangent vectors; 3.2 Points, tangent vectors, and push-forwards. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 3.3 Differential forms and pull-backs3.4 Pull-backs, products, and exterior derivatives; 3.5 Smooth homotopies and the Converse of Poincar�e's Lemma, III; 3.6 Exercises; 4 Smooth Manifolds; 4.1 The notion of a smooth manifold; 4.2 Tangent vectors and differential forms; 4.3 Further constructions; 4.4 Orientations of manifolds'227intuitive discussion; 4.5 Orientations of manifolds'227careful development; 4.6 Partitions of unity; 4.7 Smooth homotopies and the Converse of Poincar�e's Lemma in general; 4.8 Exercises; 5 Vector Bundles and the Global Point of View. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 5.1 The definition of a vector bundle5.2 The dual bundle, and related bundles; 5.3 The tangent bundle of a smooth manifold, and related bundles; 5.4 Exercises; 6 Integration of Differential Forms; 6.1 Definite integrals in textmathbbRn; 6.2 Definition of the integral in general; 6.3 The integral of a 0-form over a point; 6.4 The integral of a 1-form over a curve; 6.5 The integral of a 2-form over a surface; 6.6 The integral of a 3-form over a solid body; 6.7 Chains and integration on chains; 6.8 Exercises; 7 The Generalized Stokes's Theorem; 7.1 Statement of the theorem. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 7.2 The fundamental theorem of calculus and its analog for line integrals7.3 Cap independence; 7.4 Green's and Stokes's theorems; 7.5 Gauss's theorem; 7.6 Proof of the GST; 7.7 The converse of the GST; 7.8 Exercises; 8 de Rham Cohomology; 8.1 Linear and homological algebra constructions; 8.2 Definition and basic properties; 8.3 Computations of cohomology groups; 8.4 Cohomology with compact supports; 8.5 Exercises; Index; A; B; C; D; E; F; G; H; I; L; M; N; O; P; R; S; T; V; W. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Differential forms are utilized as a mathematical technique to help students, researchers, and engineers analyze and interpret problems where abstract spaces and structures are concerned, and when questions of shape, size, and relative positions are involved. Differential Forms has gained high recognition in the mathematical and scientific community as a powerful computational tool in solving research problems and simplifying very abstract problems through mathematical analysis on a computer. Differential Forms, 2nd Edition, is a solid resource for students and prof. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential forms. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Calculus. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Mathematical Analysis. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential forms. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00893491 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differentialform |
| Source of heading or term | gnd |
| Authority record control number | (DE-588)4149772-7 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| International Standard Book Number | 9780123944030 |
| -- | 0123944031 |
| Record control number | (DLC) 2013035820 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | ScienceDirect |
| Uniform Resource Identifier | http://www.sciencedirect.com/science/book/9780123944030 |
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